1. Computer and Automation Institute, Hungarian Academy of Sciences, POB 63, H-1518, Budapest, Hungary 2. Department of Computer Science, Budapest University of Economics, 8 F?vàm tér, H-1093, Budapest, Hungary
Abstract:
An initial value problem for the generalized Kolmogorov-Petrowsky-Piscunov (nonlinear degenerate reaction-diffusion) equation
is studied numerically by the help of a slightly modified finite difference scheme of Douglas-Yanenko-Mimura type. If the
initial function has compact support, the solution also will have compact support and an interface appears between the domains
where the solution is positive and where it is zero. We present some examples for different parameter values where the numerical
solution as well as numerical interfaces behave according to the analytical theory.
This revised version was published online in June 2006 with corrections to the Cover Date.